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Some Properties of $\delta$-integral with respect $\delta-$ fuzzy Measure | ||
International Journal of Nonlinear Analysis and Applications | ||
دوره 12، شماره 2، بهمن 2021، صفحه 2571-2576 اصل مقاله (120.58 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5411 | ||
نویسندگان | ||
Firas Hussean Maghool1؛ Zainb Hassan Radhy* 2 | ||
1Department of Mathematics, College of Computer Science and Information Technology, University of Al-adisiyah, Iraq | ||
2Department of Mathematics, College of Computer Science and Information Technology, University of Al-Qadisiyah, Iraq | ||
تاریخ دریافت: 23 فروردین 1400، تاریخ بازنگری: 07 تیر 1400، تاریخ پذیرش: 23 تیر 1400 | ||
چکیده | ||
The $\delta$-integral with respect - $\delta$ - fuzzy measure has significant practical applications such as economic, data mining, etc. In this paper, we define $\delta$-fuzzy measure and studied the measurable function with respect to $\delta-$ fuzzy measure, also we defined an integration on a type of measurement, which is called the $\delta-$ integral because of its importance in many other applications, we studied the properties of this integration and proved some important theories, Besides that, the convergence theorems are studied and the obtained results are proved. | ||
کلیدواژهها | ||
$sigma-$ algebra؛ measurable function؛ $boldsymbol{delta}-$ fuzzy measure؛ $boldsymbol{delta}$-integral | ||
مراجع | ||
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